Results 151 to 160 of about 283,896 (317)

Analytical Solutions for the Cardiac Extracellular‐Membrane‐Intracellular Model

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT The cardiac extracellular‐membrane‐intracellular (EMI) model is a novel mathematical framework for cardiac electrophysiology simulations. The cardiac EMI model provides a more detailed description of the heart's electrical activity compared to traditional monodomain and bidomain models, potentially making it better‐suited for understanding the
Carlos Ballesteros, Alexei Cheviakov, Raymond J. Spiteri   +2 more
wiley   +1 more source

An Introduction to Predictive Processing Models of Perception and Decision‐Making

Topics in Cognitive Science, EarlyView., 2023
Abstract The predictive processing framework includes a broad set of ideas, which might be articulated and developed in a variety of ways, concerning how the brain may leverage predictive models when implementing perception, cognition, decision‐making, and motor control.
Mark Sprevak, Ryan Smith
wiley   +1 more source

Ground State Solutions for a Class of Fractional Differential Equations with Dirichlet Boundary Value Condition [PDF]

, 2014
Zhigang Hu, Wenbin Liu, Jiaying Liu
openalex   +1 more source

Asymptotics for the Spectrum of the Laplacian in Thin Bars with Varying Cross Sections

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT We consider spectral problems for the Laplace operator in 3D rod structures with a small cross section of diameter O(ε)$$ O\left(\varepsilon \right) $$, ε$$ \varepsilon $$ being a positive parameter. The boundary conditions are Dirichlet (Neumann, respectively) on the bases of this structure, and Neumann on the lateral boundary.
Pablo Benavent‐Ocejo, Delfina Gómez, Maria‐Eugenia Pérez‐Martínez   +2 more
wiley   +1 more source

Numerical investigation for a boundary optimal control of reaction-advection-diffusion equation using penalization technique

Mathematical Modelling and Control
The objective of this paper is to describe the problem of boundary optimal control of the reaction-advection-diffusion equation for not very regular Dirichlet data and enumerate its qualitative properties.
Bader Saad Alshammari, Daoud Suleiman Mashat, Fouad Othman Mallawi   +2 more
doaj   +1 more source

Stability and instability of solutions of semilinear problems with Dirichlet boundary condition on surfaces of revolution

, 2016
Maicon Sônego
openalex   +1 more source

On the Structure of the Solution Set of a Sign Changing Perturbation of the p-Laplacian under Dirichlet Boundary Condition [PDF]

, 2013
J.V. Gonçalves, M. R. Marcial
openalex   +1 more source

Existence Analysis of a Three‐Species Memristor Drift‐Diffusion System Coupled to Electric Networks

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT The existence of global weak solutions to a partial‐differential‐algebraic system is proved. The system consists of the drift‐diffusion equations for the electron, hole, and oxide vacancy densities in a memristor device, the Poisson equation for the electric potential, and the differential‐algebraic equations for an electric network.
Ansgar Jüngel, Tuấn Tùng Nguyến
wiley   +1 more source

Direct and inverse problems for a 2D heat equation with a Dirichlet–Neumann–Wentzell boundary condition

, 2023
Mansur I. Ismailov, Önder Türk
openalex   +2 more sources

The von Neumann Stability Analysis of the Fixed‐Stress Schemes in Poroelastodynamics

International Journal for Numerical and Analytical Methods in Geomechanics, EarlyView.
ABSTRACT We investigate splitting schemes based on the fixed‐stress sequential approach for poroelastodynamic problems. To assess numerical stability, we perform the von Neumann stability analysis on several fixed‐stress schemes for poroelastodynamics, including staggered, stabilized, and iterative methods. Our analysis reveals that while the staggered
Jihoon Kim, Sanghyun Lee, Mary F. Wheeler   +2 more
wiley   +1 more source